Asked by Franco Volschenk on Jun 10, 2024
Verified
A gas company president for a particular city is interested in the proportion of homes heated by gas. Historically, the proportion of homes heated by gas has been 0.65. A sample of 75 home was selected and it was found that 44 of them heat with gas.
Perform the appropriate test of hypothesis to determine whether the proportion of home heated by gas has changed. Test using 
= 0.05.
Test statistic = ______________
Critical Value(s) = ______________
Conclusion: ______________
Interpretation: __________________________________________
Find the p-value for this test.
p-value = ______________
Proportion Heated
The fraction or percentage of a whole that has been subjected to a process of heating, often used in the context of scientific experiments or industrial processes.
Hypothesis Test
A statistical method used to decide if a certain premise about a population parameter is true, based on sample data.
Gas Company
A business entity that distributes gas, often natural gas or liquefied petroleum gas, to consumers and industries.
- Utilize suitable statistical techniques to contrast proportions across populations.
- Conduct hypothesis testing on single proportions and comprehend the correlation between test statistics and p-values.
Verified Answer
GF
Grace FleetwoodJun 11, 2024
Final Answer :
-1.14; 1.96, -1.96; Do not reject H0; The proportion of homes heated by gas has NOT changed; 0.2542
Learning Objectives
- Utilize suitable statistical techniques to contrast proportions across populations.
- Conduct hypothesis testing on single proportions and comprehend the correlation between test statistics and p-values.